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212140114043144 = 237171013187692281
BaseRepresentation
bin110000001111000010111000…
…001000111110000100001000
31000211010101201022000000220012
4300033002320020332010020
5210301200423143340034
62031103453433451052
762453421534130610
oct6017027010760410
91024111638000805
10212140114043144
116165a131994621
121b962212b70a88
13914a95b0601b1
143a558ca039a40
15197d3b7c0bcce
hexc0f0b823e108

212140114043144 has 128 divisors (see below), whose sum is σ = 486245141925120. Its totient is φ = 84695196672000.

The previous prime is 212140114043131. The next prime is 212140114043149. The reversal of 212140114043144 is 441340411041212.

It is a self number, because there is not a number n which added to its sum of digits gives 212140114043144.

It is not an unprimeable number, because it can be changed into a prime (212140114043149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306090284 + ... + 306782564.

It is an arithmetic number, because the mean of its divisors is an integer number (3798790171290).

Almost surely, 2212140114043144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212140114043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243122570962560).

212140114043144 is an abundant number, since it is smaller than the sum of its proper divisors (274105027881976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212140114043144 is a wasteful number, since it uses less digits than its factorization.

212140114043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695599 (or 695595 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 212140114043144 its reverse (441340411041212), we get a palindrome (653480525084356).

The spelling of 212140114043144 in words is "two hundred twelve trillion, one hundred forty billion, one hundred fourteen million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 202 238 404 476 707 808 952 1414 1717 2828 3187 3434 5656 6374 6868 12019 12748 13736 22309 24038 25496 44618 48076 54179 89236 96152 108358 178472 216716 321887 379253 433432 643774 692281 758506 1287548 1384562 1517012 2253209 2575096 2769124 3034024 4506418 4845967 5472079 5538248 9012836 9691934 10944158 11768777 18025672 19383868 21888316 23537554 38304553 38767736 43776632 47075108 69920381 76609106 82381439 94150216 139840762 153218212 164762878 279681524 306436424 329525756 489442667 559363048 659051512 978885334 1188646477 1957770668 2206299547 2377292954 3915541336 4412599094 4754585908 8320525339 8825198188 9509171816 15444096829 16641050678 17650396376 30888193658 33282101356 37507092299 61776387316 66564202712 75014184598 123552774632 150028369196 222836254247 262549646093 300056738392 445672508494 525099292186 891345016988 1050198584372 1559853779729 1782690033976 2100397168744 3119707559458 3788216322199 6239415118916 7576432644398 12478830237832 15152865288796 26517514255393 30305730577592 53035028510786 106070057021572 212140114043144